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Finding the Fourth Proportional to 21,188.56, 31,748.28 and 10,786

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Solution

The fourth proportional to 21,188.56, 31,748.28 and 10,786 is: 16,161.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,188.56 : 31,748.28 = 10,786 : x
  2. Step 2: Convert to fraction form
    21,188.56/31,748.28 = 10,786/x
  3. Step 3: Cross multiply
    21,188.56x = 31,748.28 × 10,786
  4. Step 4: Simplify right side
    21,188.56x = 342,436,948.08
  5. Step 5: Solve for x
    x = 342,436,948.08/21,188.56
  6. Step 6: Final answer
    x = 16,161.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.